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Finding the Fourth Proportional to 299.13, 447.60 and 264.50

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Solution

The fourth proportional to 299.13, 447.60 and 264.50 is: 395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.13 : 447.60 = 264.50 : x
  2. Step 2: Convert to fraction form
    299.13/447.60 = 264.50/x
  3. Step 3: Cross multiply
    299.13x = 447.60 × 264.50
  4. Step 4: Simplify right side
    299.13x = 118,390.20
  5. Step 5: Solve for x
    x = 118,390.20/299.13
  6. Step 6: Final answer
    x = 395.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.